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Finding the Fourth Proportional to 302,400.54, 453,881.34 and 152,745.93

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Solution

The fourth proportional to 302,400.54, 453,881.34 and 152,745.93 is: 229,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,400.54 : 453,881.34 = 152,745.93 : x
  2. Step 2: Convert to fraction form
    302,400.54/453,881.34 = 152,745.93/x
  3. Step 3: Cross multiply
    302,400.54x = 453,881.34 × 152,745.93
  4. Step 4: Simplify right side
    302,400.54x = 69,328,527,387.95
  5. Step 5: Solve for x
    x = 69,328,527,387.95/302,400.54
  6. Step 6: Final answer
    x = 229,260.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.